Schwarzschild solution in extended teleparallel gravity

preprint2015arXivOpen access

Abstract

Tetrad field, with two unknown functions of radial coordinate and an angle ΦΦ which is the polar angle ϕϕ times a function of the redial coordinate, is applied to the field equation of modified theory of gravity. Exact vacuum solution is derived whose scalar torsion, T=TαμνSαμνT ={T^α}_{μν} {S_α}^{μν}, is constant. When the angle ΦΦ coincides with the polar angle ϕϕ, the derived solution will be a solution only for linear form of f(T)f(T) gravitational theory.

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